Year 3 - Maths
Use repeated addition of a unit fraction to form 1
Composition of non-unit fractions: addition and subtraction
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator.
Lesson Summary
You will learn to use repeated addition of a unit fraction to form 1.
Key Notes
- When the numerator and denominator are the same, the fraction is equal to 1
- Repeated addition of unit fractions forms a fraction equal to 1
- A number line represents the repeated addition of unit fractions to total 1
Vocabulary To Learn
- Unit fraction: A unit fraction is a fraction where the numerator is 1
- Non-unit fraction: A non-unit fraction is a fraction where the numerator is greater than 1
- Denominator: A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
- Numerator: A numerator is the top number in a fraction. It shows how many parts we have.
Common Mistakes To Avoid
- When counting, children might think that 1 comes one step after the numerator and denominator are the same. For example, "...five-sevenths, six-sevenths, seven-sevenths, 1".
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When the numerator and denominator are the same, the fraction is equal to 1. Repeated addition of unit fractions forms a fraction equal to 1.
2. Use this key word in a maths sentence and explain it clearly. 'Unit fraction'
A unit fraction is a fraction where the numerator is 1. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When counting, children might think that 1 comes one step after the numerator and denominator are the same. For example, "...five-sevenths, six-sevenths, seven-sevenths, 1". Correction: As the teacher, count in a given unit fraction and ask the children to stand up, wave or respond in some way when you get to the unit fraction that's equivalent to 1 (when the numerator and denominator are the same).
More Lessons In This Unit
- Add and subtract fractions with the same denominator in a range of contexts Study Guide
- Add fractions with the same denominator Study Guide
- Add fractions with the same denominator and generalise the rule Study Guide
- Add on fractions with the same denominator Study Guide
- Explain that addition and subtraction of fractions are inverse operations Study Guide
- Substitute a fraction representing a whole to solve subtraction problems Study Guide
- Subtract fractions from a whole by converting the whole to a fraction Study Guide
- Subtract fractions with the same denominator Study Guide
- Use repeated addition of a unit fraction to form a non-unit fraction Study Guide
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